how do you find whether a pair of lines are parallel, perpendicular?

Answers

Answer 1

Answer:

If two lines are parallel they have the same slope, if they are perpendicular they have opposite slopes.

Step-by-step explanation:

Example of parallel lines: y=3x+10  &  y=3x-4

Example of perpendicular lines: y=2x-9  &  y=-1/2x+1


Related Questions

A sheep producers from 2 to 5 gallons of milk per day. How many gallons of milk is this each year?

Answers

The most it could produce is 1,825 gallons

The stopping distance (s) of a truck varies directly as the square of its speed (v). If a truck travelling at 50 mph requires 200 feet to stop, find the stopping distance for a truck travelling at 65 mph.

Answers

Answer:

The distance is 338ft

Step-by-step explanation:

Given

Represent distance with s and velocity with v:

When

[tex]s = 200\ ft[/tex]

[tex]v = 50mph[/tex]

Required

Determine the distance when velocity is 65mph

From the question, we understand that:

[tex]s\ \alpha\ v^2[/tex]

Convert to equation

[tex]s\ = kv^2[/tex]

Substitute 200 for s and 50 for v

[tex]200 = k * 50^2[/tex]

[tex]200 = k * 2500[/tex]

Make k the subject:

[tex]k = \frac{200}{2500}[/tex]

[tex]k = \frac{2}{25}[/tex]

To get s when v = 65.

Substitute 65 for v and 2/25 for k in [tex]s\ = kv^2[/tex]

[tex]s = \frac{2}{25} * 65^2[/tex]

[tex]s = \frac{2}{25} * 4225[/tex]

[tex]s = \frac{8450}{25}[/tex]

[tex]s = 338\\[/tex]

Hence, the distance is 338ft

After multiplying, a calculator screen displays the answer shown below. How would you write this number in standard form? Enter your answer in the box. Include commas in your answer. 8.234 E14

Answers

Answer:

[tex]8.234 E14=8.234 \times 10^{14}[/tex]

Step-by-step explanation:

The given number is [tex]8.234 E14[/tex]

We need to write this number in standard form.

Any no is given in the standard form is given by :

[tex]N=a\times 10^b[/tex]

Where

a and b is real no and integer

It means,

[tex]8.234 E14=8.234 \times 10^{14}[/tex]

Hence, this is the required solution.

12.5/10 = 30/t

a
48
b
24
c
2.4
d
4.8



help meeeeeeeeeeeeeeeeee

Answers

Answer:

I think it is C. or D.

Step-by-step explanation:

I dont know for sure but they come close. Hope this helped you!!

find the 1st term of the sequence whose nth term is 4n + 3

Answers

Answer:7

Step-by-step explanation:

I believe the answer would be three since 4(1)+3=7

need the solution to this: 34x + 85 = 3(13x + 7)

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=64/5

Decimal Form:

x=12.8

Mixed Number Form:

x=12  4/5

What is the slope of this line?
-3
4
3/4
-3/4

Answers

The answer is -3/4 because the slope of the line is negative and to get the answer find where the line crosses a number and count from one point to another

PLEASE HELP ME!! WILL MARK BRAINLIEST!!

Answers

Answer:

choice C (-4x+12i)(x+3i)

Step-by-step explanation:

(-4x+12i)(x+3i)

-4x^2-12i+12i+36i^2

-4x^2-36

Office Depot prints black and white or colored copies.Yesterday,they printed 9 black and white copies for every 2 colored copies if they print 200 color copies how many black and white copies were printed?

Answers

Answer:

900 black and white copies were printed.

Step-by-step explanation:

From the information provided, you know that they printed 9 black and white copies for every 2 colored copies and you can use a rule of three to find the amount of black and white copies that were printed if they printed 200 color copies:

9 black and white → 2 colored

             x               ← 200 colored

x=(9*200)/2=900

According to this, the answer is that 900 black and white copies were printed.

7(r+3) -8(3 y + 5) =

Answers

Answer:

7r-24y-19

Step-by-step explanation:

Distribute

7r+21 -8(3y+5)

7r+21 -24y-40

rearrange terms

7r-19-24y

7r-24y-19

Answer:

7r-24y-19

Step-by-step explanation:

HOPE I HELPED

Whitch statement is true?
A.All right triangles are similar
B.All parallelograms are similar
C.Similar shapes have equal angle measure
D.Similar shapes have proportional angle measures

Answers

Answer:

I think it’s D

Step-by-step explanation:

ANSWER FOR BRAINLIEST
CORRECT ANSWERS ONLY

Answers

1. Quotient

2. Factors

3.product

4. Divisor

5. Dividend

Hope I could help -

Have a wonderful rest of your day!

Sleepy+

A cell phone company charges 5$ for 250 text messages. How much does the company charge for 300 text messages?

Answers

Answer:

$6

Step-by-step explanation:

250 text messages = $5

300 text messages = [tex]\frac{300}{250 }[/tex] × $5

                                = $6

Pls don't eat me :>

will mark brainliest // help me please

Answers

Answer:

Step-by-step explanation:

She starts with $750.

Convert the percent to a decimal.

0.0015

Multiply.

0.0015 * 365

$1160.63

The midpoint of
AB

AB
is
M
(

6
,
3
)
M(−6,3). If the coordinates of
A
A are
(

8
,
1
)
(−8,1), what are the coordinates of
B
B

Answers

Yes sirhshsbbshshsbsbdbdbdvdvdbdb

Answer:

(-4,5)

Step-by-step explanation:

yup

Please help me on how to solve it please 60 points!

Answers

Answer:

C. x⁶y⁴/xy²

Step-by-step explanation:

Rearrange (x²y)(x⁴y³) to get

(x²x⁴)(yy³)

When multiplying numbers with exponents with the same base, you add the exponents.

So the equation above can be simplified even further to:

(x²⁺⁴)(y¹⁺³)     --- (those are plus signs in between the exponents)

Simplify to

x⁶y⁴

Now you have the top of the equation simplified

so the answer is c

Hope this helps! (would appreciate brainliest; trying to get to next rank)

have a nice day!

the bill came to $136.40 The patrons decided to leave a 15% tip what was the total bill including the tip

Answers

Answer:

$156.86

Step-by-step explanation:

Total = bill + tip

136.40 + 0.15*136.40 =136.40 + 20.46 = 156.86

i give you points lol

Answers

Answer:

yes

Step-by-step explanation:

hi nothing for checking for me to be able to make it to the gym today and I love you too baby girl and I love you too baby and have fun at school and see what happens and we are born with you have a good time with the girls have a nice time with me and him and he said he was going to be a little more about the job I have to go to the doctor today and I love the idea of the constitution​

Answers

If its nonsense question well i don't know

please don't give nonsense question.

Answer:

whtsas

Step-by-step explanation:

simple math question
1)

Answers

Answer:

x^10

Step-by-step explanation:

when u mulitply exponets you add them.. i would look up on google tho the rules of exponents so you know them.

X ‘7 is your answer!

A square of side x is cut out of a larger square of side y. What is the area of the remaining
figure?​

Answers

Answer:

The area of the remaining figure is [tex]y^2-x^2[/tex]

Step-by-step explanation:

Area of the Square Shape

Given a square of side length x, the area is calculated by the formula:

[tex]A_x=x^2[/tex]

It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.

The area of the square of side length y is:

[tex]A_y=y^2[/tex]

The shaded area of the remaining figure is the difference between both areas:

[tex]A=A_y-A_x[/tex]

[tex]A=y^2-x^2[/tex]

The area of the remaining figure is [tex]\mathbf{y^2-x^2}[/tex]

Nolan says the relationship in the table is not proportional because the point (0, 0) does not appear in the table.

Which is the best way to explain to Nolan why he is incorrect?
A. A graph made from the table will be increasing, so it is proportional.
B. Not all proportional relationships contain (0, 0), so it could be proportional.
C. The points on the graph will have even y-coordinates, so it is proportional.
D. Even though (0, 0) is not in the table, the graph is a line through (0, 0), so it is proportional.

Answers

Answer: D. Even though (0, 0) is not in the table, the graph is a line through (0, 0), so it is proportional.

Step-by-step explanation:

The table is not included but this should be the correct answer.

Linear relationships which are proportional will have to pass through the origin which is (0,0). This does not mean that on the table, the points (0,0) have to be there.

Even if it does not explicitly appear in the table, so long as the line passes the origin, it is to be considered a proportional relationship. The (0,0) might not appear on the table because only a few points the line passed through were listed but if when the line is plotted, the line goes through (0,0), it is proportional.

Answer:

D

Step-by-step explanation:

Which equation represents a line which is perpendicular to the line y = 4/3x -7

A)3x + 4y = 8

B)4x – 3y = 24

C)4x + 3y = -6

D)4y - 3x = 12

Answers

Answer:

A)3x + 4y = 8

Step-by-step explanation:

Given expression;

          y = [tex]\frac{4}{3} x[/tex]   - 7

A line perpendicular to this will have negative inverse slope;

  the slope of the given line = [tex]\frac{4}{3}[/tex]

  perpendicular line  = [tex]-\frac{3}{4}[/tex]  

 Now;

      the equation of the line is;

 

           y =  [tex]-\frac{3}{4}[/tex] x  - 7

  multiply through by 4

          4y  = -3x - 28

          4y + 3x  = -28

       

Solve for x.
A) -7
C) 6
B) 9
D) 10

Answers

Answer:

A

Step-by-step explanation:

The segment BC  joining the midpoints of 2 sides of the triangle is

Half the length of the third side, that is

x + 31 = 2(x + 19)

x + 31 = 2x + 38 ( subtract x from both sides )

31 = x + 38 ( subtract 38 from both sides )

- 7 = x → A

The answer for this is A -7

what is 2p6−19=−9 I need help pls I don't understand this at all

Answers

Answer:

5/6. Is this what u are looking for?

Step-by-step explanation:

Step 1 Simplify:2x(6)-19=-9 to 12x+-19=-9

Step 2 Add 19 to both sides: 12x-19+19=-9+19. You should get 12x=20

Step 3 Divide 12 on both sides: 12x/12=10/12

x=10/12. Simplified= x=5/6

Help me with number 1 please help ASAP
Pleaseee I’ll mark you as brainlister

Answers

Answer:

I can't really see the question but the answer to the very first question on the page is <E is congruent to <H

Step-by-step explanation:

I wanna say D and G

Look at each equation. Is the equation linear? Select Yes or No.
1/x - 2y =7
A
Yes
B
No
А
Yes
y=x2-8
B
No
7
3x + - = -5
A
Yes
B
No

Answers

Answer:

9890

Step-by-step explanation:

khkyuyukrfqz

Answer:

1st one is yes

2nd no

3rd no

Step-by-step explanation:

Hi. I need help with these questions.
See image for question.

Answers

Step-by-step explanation:

Given

f(x) = 4x³ + 3x² - 2x - 1

Divide it by the following:

(a) 2x + 1

4x³ + 3x² - 2x - 1 =(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =(2x + 1)(2x² + 1/2x - 5/4) + 1/4

Quotient =  2x² + 1/2x - 5/4

Remainder = 1/4

(b) 2x - 3

4x³ + 3x² - 2x - 1 = (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 = (2x -3)(2x² + 4.5x + 5.75) + 16.25

Quotient = 2x² + 4.5x + 5.75

Remainder = 16.25

(c) 4x - 1

4x³ + 3x² - 2x - 1 = (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =(4x - 1)(x² + x - 1/2) - 3/2

Quotient = x² + x - 1/2

Remainder = - 3/2

(d) x + 2

4x³ + 3x² - 2x - 1 = (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =(x + 2)(4x² - 5x + 8) - 17

Quotient = 4x² - 5x + 8

Remainder = - 17

Step-by-step explanation:

Given

f(x) = 4x³ + 3x² - 2x - 1

Divide it by the following:

(a) 2x + 1

4x³ + 3x² - 2x - 1 =

(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =

2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =

(2x + 1)(2x² + 1/2x - 5/4) + 1/4

Quotient =  2x² + 1/2x - 5/4

Remainder = 1/4

(b) 2x - 3

4x³ + 3x² - 2x - 1 =

(4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =

(2x -3)(2x² + 4.5x + 5.75) + 16.25

Quotient = 2x² + 4.5x + 5.75

Remainder = 16.25

(c) 4x - 1

4x³ + 3x² - 2x - 1 =

(4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =

(4x - 1)(x² + x - 1/2) - 3/2

Quotient = x² + x - 1/2

Remainder = - 3/2

(d) x + 2

4x³ + 3x² - 2x - 1 =

(4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =

(x + 2)(4x² - 5x + 8) - 17

Quotient = 4x² - 5x + 8

Remainder = - 17

drag a series of transformations of trapezoid ABCD to the table that show trapezoid ABCD is congruent to trapezoid EFGH​

Answers

Answer: Reflect Y-Axis & 10 Units Down

Step-by-step explanation:

first one TO ANSWER and GET IT CORRECT will get brainliest plus 15 points :) and a thanks on there comment

Answers

Answer:

MacBook air please

Step-by-step explanation:

Answer:

left edge should measure 1 cm and bottom should measure 2 cm because it has to be scaled

Step-by-step explanation:

1 cm = 3 ft

left side is 2cm wants it to be 3 feet and 1cm = 3 feet so you make it from to cm to 1 cm aka 3 feet and the bottom side 2 cm so that its scaled :)

Brainliest?

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